Setup 2 problems
2x - 7 < 15 and 2x - 7 > -15
2x < 22 2x > -8
x < 11 x > -4
Or you can write it -4 < x < 11
Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
-2/3x + y = -7
Step-by-step explanation:
So, y = 2/3x - 7 is the slope-intercept equation. Now, we need to turn it into the standard equation of a slope.
Standard equation --> Ax + By = C
y = 2/3x - 7
-2/3x -2/3x
----------------------
-2/3x + y = -7 --> this is your equation in standard slope form.
Answer:
radical 1/2
Step-by-step explanation:
45-45-90 triangle
hyp= radical 1/2 (radical 2)
therefore x (median side aka)= radical 1/2
I believe it would be either 0 or 1 but im not entirerly sure